Let U = {1, 2, 3, 4, 5, 6, 7, 8},  A =
{4, 6, 8},
B =
{3, 4, 7, 10},
and C = {1, 3, 7}. Find the following. (Enter your answers as a comma-separated list.)
A ∪ B

To find \( A \cup B \), we need to take the union of sets \( A \) and \( B \). The union of two sets contains all elements that are in either set, without duplication.

Given:
- \( A = \{4, 6, 8\} \)
- \( B = \{3, 4, 7, 10\} \)

The union \( A \cup B \) is the set of all elements that appear in either \( A \) or \( B \):

\[
A \cup B = \{3, 4, 6, 7, 8, 10\}
\]

Therefore, the answer is:
\[
3, 4, 6, 7, 8, 10
\]

Would you like more details on the steps? Also, here are 5 related questions to expand on this:

1. What is the intersection of sets \( A \) and \( B \)?
2. What is the complement of \( A \) with respect to \( U \)?
3. How do you find \( A \cap C \)?
4. What is \( (A \cup B) \cap C \)?
5. How would the union change if \( B = \{3, 4, 7\} \) instead of \( \{3, 4, 7, 10\} \)?

**Tip**: In set theory, the union operation combines all unique elements from two sets.

Let U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {4, 6, 8}, B = {3, 4, 7, 10}, and C = {1, 3, 7}. Find the following. (Enter your answers as a comma-separated list.) A ∪ B.

Solve the problem involving the union of two sets, A = {4, 6, 8} and B = {3, 4, 7, 10}. The solution includes key set theory concepts such as the union operation. Suitable for students in Grades 6-8.

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